| Description |
1 online resource (x, 267 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Bibliography |
Includes bibliographical references. |
| Note |
Proceedings of conference held in Milwaukee, Wisconsin, USA in 2003. |
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Print version record. |
| Summary |
Mathematical modelling is often spoken of as a way of life, referring to habits of mind and to dependence on the power of mathematics to describe, explain, predict and control real phenomena. This book aims to encourage teachers to provide opportunities for students to model a variety of real phenomena appropriately matched to students' mathematical backgrounds and interests from early stages of mathematical education. Habits, misconceptions, and mindsets about mathematics can present obstacles to university students' acceptance of a ''models-and-modelling perspective'' at this stage of mathematics education. Without prior experience in building, interpreting and applying mathematical models, many students may never come to view and regard modelling as a way of life. The book records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003. Examines mathematical modelling as a way of life, referring to habits of mind and dependence on the power of mathematics to describe, explain, predict and control real phenomenaEncourages teachers to provide students with opportunities to model a variety of real phenomena appropriately matched to students' mathematical backgrounds and interests from early stages of mathematical educationRecords presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003. |
| Contents |
Front Cover; ABOUT THE EDITORS; Mathematical Modelling: A Way of Life; Copyright Page; Table of Contents; ICTMA PUBLICATIONS; PREFACE; Section A: Modelling in the Elementary School; Chapter 1. Mathematical Modelling With Young Learners; INTRODUCTION; TRADITIONAL MATHEMATICAL MODELLING; MATHEMATICAL MODELLING FOR CHILDREN TODAY; GENERALIZABLE CONCEPTUAL SYSTEMS; APPLYING GENERALIZED CONCEPTUAL SYSTEMS; CONCLUDING POINTS; REFERENCES; APPENDIX A; APPENDIX B; APPENDIX C; Chapter 2. Modelling in Elementary School: Helping Young Students to See the World Mathematically; INTRODUCTION. |
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APPROPRIATE GOALS FOR ELEMENTARY SCHOOL STUDENTSWHAT COGNITIVE RESEARCH TELLS US; PRACTICE THAT SUPPORTS MEANINGFUL LEARNING: THE CHEERS PROGRAM; REFERENCES; Section B: Modelling with Middle and Secondary Students; Chapter 3. How Mathematizing Reality is Different from Realizing Mathematics; INTRODUCTION; SUCCESS IN THE 21ST CENTURY; CASE STUDIES FOR KIDS; MODELING AND MODELS; STUDENT THINKING; REPRESENTATIONAL MEDIA; POWERFUL CONCEPTUAL TOOLS; STUDENT UNDERSTANDING; MONITORING AND ASSESSING; CONCLUSION; REFERENCES; Chapter 4. Environmental Problems and Mathematical Modelling; INTRODUCTION. |
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AVERAGE GLOBALTEMPERATUREBLUEGILLS IN LAKE BIWA; CONCLUSION; REFERENCES; Chapter 5. Three Interacting Dimensions in the Development of Mathematical Knowledge; INTRODUCTION; ON COGNITION: WHAT DO WE KNOW ABOUT HOW STUDENTS LEARN MATHEMATICS?; MODEL DEVELOPMENT SEQUENCES; FINAL REMARKS; REFERENCES; Chapter 6. Working and Learning in the Real WorId: A Mathematics Education Project in Baden-Wuerttemberg; TlMSS AND THE BLK PROJECT; BASIC EXPERIENCES IN MATHEMATICS EDUCATION; WHAT HAS TO CHANGE?; TAKING CHILDREN SERIOUSLY; PRODUCTIVE PRACTICE; EXAMPLES FROM OUR PROJECT. |
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ASSESSMENT: MEASURING GAIN IN COMPETENCEEXPERIENCES FROM THE PROJECT; SOME PERSISTENT PROBLEMS; CONCLUSION; REFERENCES; Chapter 7. Powerful Modelling Tools for High School Algebra Students; RATIONALE; TAKING STUDENTS FROM THERE TO HERE; DIFFERENCE EQUATIONS; SPREADSHEETS; SYSTEMS THINKING; CONCLUSION; REFERENCES; Section C: Post-Secondary Modelling; Chapter 8. Solving Problems: Perchance to Dream; INTRODUCTION; MAKING A HOME FOR CREATIVE INTELLIGENCE; A MODELING COURSE AT MARQUETTE; REFERENCES. |
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Chapter 9. Formal Systems of Logic as Models for Building the Reasoning Skills of Upper Secondary School TeachersINTRODUCTION; OUR TEACHER TRAINING PROPOSAL; A TEACHING EXPERIMENT; RELATING THE PROPOSAL TO CLASSROOM PRACTICE; REFERENCES; Chapter 10. Learning Mathematics Using Dynamic Geometry Tools; INTRODUCTION; MATHEMATICAL MODELING; WALTER'S THEOREM; EXAM PROBLEM: TRIANGLES; REFERENCES; Chapter 11. Modelling Search Algorithms; A SEARCH PROBLEM; DIDACTICAL EXPERIENCES; PERSONAL REMARKS; Chapter 12. Mathematical Modelling in a Differential Geometry Course; INTRODUCTION; CURVES OF PURSUIT. |
| Subject |
Mathematical models -- Congresses.
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Mathematical models -- Study and teaching (Higher) -- Congresses.
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Modèles mathématiques -- Congrès.
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MATHEMATICS -- General.
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Mathematical models
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Mathematikunterricht
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Mathematisches Modell
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Milwaukee <Wis., 2003>
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| Genre/Form |
Congress |
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proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Added Author |
Lamon, Susan J., 1949-
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Parker, Willard A.
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Houston, K. (Ken)
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| Note |
At head of title: ICTMA 11, the Eleventh International Conference on the Teaching of Mathematical Modelling and Applications |
| Added Title |
International Conference on the Teaching of Mathematical Modelling and Applications |
| Other Form: |
Print version: International Conference on the Teaching of Mathematical Modelling and Applications (11th : 2003 : Milwaukee, Wisconsin). Mathematical modelling 1904275036 (OCoLC)54424359 |
| ISBN |
9780857099549 (electronic bk.) |
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085709954X (electronic bk.) |
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1904275036 |
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9781904275039 |
| Standard No. |
AU@ 000055950759 |
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CHNEW 001011805 |
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DEBBG BV042317201 |
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DEBSZ 414270851 |
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DEBSZ 431643377 |
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DEBSZ 449417859 |
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GBVCP 797009000 |
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